結果
| 問題 | No.1678 Coin Trade (Multiple) |
| ユーザー |
 noimi
|
| 提出日時 | 2021-09-10 22:11:15 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 26,900 bytes |
| コンパイル時間 | 4,220 ms |
| コンパイル使用メモリ | 252,148 KB |
| 実行使用メモリ | 17,608 KB |
| 最終ジャッジ日時 | 2023-09-02 18:04:18 |
| 合計ジャッジ時間 | 11,561 ms |
|
ジャッジサーバーID （参考情報） |
judge11 / judge12 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 1 ms
4,368 KB |
| testcase_01 | AC | 2 ms
4,372 KB |
| testcase_02 | AC | 2 ms
4,372 KB |
| testcase_03 | TLE | - |
| testcase_04 | -- | - |
| testcase_05 | -- | - |
| testcase_06 | -- | - |
| testcase_07 | -- | - |
| testcase_08 | -- | - |
| testcase_09 | -- | - |
| testcase_10 | -- | - |
| testcase_11 | -- | - |
| testcase_12 | -- | - |
| testcase_13 | -- | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
| testcase_26 | -- | - |
| testcase_27 | -- | - |
| testcase_28 | -- | - |
| testcase_29 | -- | - |
| testcase_30 | -- | - |
| testcase_31 | -- | - |
| testcase_32 | -- | - |
| testcase_33 | -- | - |
| testcase_34 | -- | - |
| testcase_35 | -- | - |
| testcase_36 | -- | - |
| testcase_37 | -- | - |
| testcase_38 | -- | - |
| testcase_39 | -- | - |
| testcase_40 | -- | - |
| testcase_41 | -- | - |
| testcase_42 | -- | - |
| testcase_43 | -- | - |
| testcase_44 | -- | - |
| testcase_45 | -- | - |
| testcase_46 | -- | - |
| testcase_47 | -- | - |
| testcase_48 | -- | - |
| testcase_49 | -- | - |
| testcase_50 | -- | - |
| testcase_51 | -- | - |
| testcase_52 | -- | - |
| testcase_53 | -- | - |
| testcase_54 | -- | - |
| testcase_55 | -- | - |
| testcase_56 | -- | - |
| testcase_57 | -- | - |
| testcase_58 | -- | - |
ソースコード
#pragma region Macros
#pragma comment(linker, "/stack:200000000")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,fma,abm,mmx,avx,avx2,tune=native")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,fma,abm,mmx,avx,avx2")
// #pragma GCC target("avx2")
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#define ll long long
using ld = long double;
#define rep2(i, a, b) for(ll i = (a); i <= (b); i++)
#define rep3(i, a, b) for(ll i = (a); i >= (b); --i)
#define rep(i, n) for(ll i = 0; i < n; ++i)
#define each(i, a) for(auto &i : a)
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pb push_back
#define eb emplace_back
#define vi vector<int>
#define vll vector<ll>
#define vpi vector<pii>
#define vpll vector<pll>
#define overload2(_1, _2, name, ...) name
#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
IN(name)
#define VEC2(type, name1, name2, size) \
vector<type> name1(size), name2(size); \
for(int i = 0; i < size; i++) IN(name1[i], name2[i])
#define VEC3(type, name1, name2, name3, size) \
vector<type> name1(size), name2(size), name3(size); \
for(int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i])
#define vv(type, name, h, ...) vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
IN(name)
#define vvv(type, name, h, w, ...) vector<vector<vector<type>>> name(h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
vector<vector<vector<vector<type>>>> name(a, vector<vector<vector<type>>>(b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
#define mt make_tuple
#define fi first
#define se second
#define all(c) begin(c), end(c)
#define rall(c) rbegin(c), rend(c)
#define SORT(v) sort(all(v))
#define REV(v) reverse(all(v))
template <class T = ll, class S> T SUM(const S &v) { return accumulate(all(v), T(0)); }
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define lb(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define ub(c, x) distance((c).begin(), upper_bound(all(c), (x)))
using namespace std;
constexpr pii dx4[4] = {pii{1, 0}, pii{0, 1}, pii{-1, 0}, pii{0, -1}};
constexpr pii dx8[8] = {{1, 0}, {1, 1}, {0, 1}, {-1, 1}, {-1, 0}, {-1, -1}, {0, -1}, {1, -1}};
const string YESNO[2] = {"NO", "YES"};
const string YesNo[2] = {"No", "Yes"};
const string yesno[2] = {"no", "yes"};
void YES(bool t = 1) { cout << YESNO[t] << endl; }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { cout << YesNo[t] << endl; }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { cout << yesno[t] << endl; }
void no(bool t = 1) { yes(!t); }
template <class T> using vc = vector<T>;
template <class T> using vvc = vector<vc<T>>;
template <class T> using vvvc = vector<vvc<T>>;
template <class T> using vvvvc = vector<vvvc<T>>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>;
#define si(c) (int)(c).size()
#define INT(...) \
int __VA_ARGS__; \
IN(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
IN(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
IN(__VA_ARGS__)
#define CHR(...) \
char __VA_ARGS__; \
IN(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
IN(__VA_ARGS__)
int scan() { return getchar(); }
void scan(int &a) { cin >> a; }
void scan(long long &a) { cin >> a; }
void scan(char &a) { cin >> a; }
void scan(double &a) { cin >> a; }
void scan(string &a) { cin >> a; }
template <class T, class S> void scan(pair<T, S> &p) { scan(p.first), scan(p.second); }
template <class T> void scan(vector<T> &);
template <class T> void scan(vector<T> &a) {
for(auto &i : a) scan(i);
}
template <class T> void scan(T &a) { cin >> a; }
void IN() {}
template <class Head, class... Tail> void IN(Head &head, Tail &...tail) {
scan(head);
IN(tail...);
}
template <class T, class S> inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); }
template <class T, class S> inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); }
vi iota(int n) {
vi a(n);
iota(all(a), 0);
return a;
}
template <typename T> vi iota(vector<T> &a, bool greater = false) {
vi res(a.size());
iota(all(res), 0);
sort(all(res), [&](int i, int j) {
if(greater) return a[i] > a[j];
return a[i] < a[j];
});
return res;
}
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end())
template <class T> T ceil(T x, T y) {
assert(y >= 1);
return (x > 0 ? (x + y - 1) / y : x / y);
}
template <class T> T floor(T x, T y) {
assert(y >= 1);
return (x > 0 ? x / y : (x + y - 1) / y);
}
template <class T> T POW(T x, int n) {
T res = 1;
for(; n; n >>= 1, x *= x)
if(n & 1) res *= x;
return res;
}
template <class T> T POW(T x, ll n, const ll &mod) {
T res = 1;
for(; n; n >>= 1, x = x * x % mod)
if(n & 1) res = res * x % mod;
return res;
}
vector<pll> factor(ll x) {
vector<pll> ans;
for(ll i = 2; i * i <= x; i++)
if(x % i == 0) {
ans.push_back({i, 1});
while((x /= i) % i == 0) ans.back().second++;
}
if(x != 1) ans.push_back({x, 1});
return ans;
}
template <class T> vector<T> divisor(T x) {
vector<T> ans;
for(T i = 1; i * i <= x; i++)
if(x % i == 0) {
ans.pb(i);
if(i * i != x) ans.pb(x / i);
}
return ans;
}
template <typename T> void zip(vector<T> &x) {
vector<T> y = x;
UNIQUE(y);
for(int i = 0; i < x.size(); ++i) { x[i] = lb(y, x[i]); }
}
template <class S> void fold_in(vector<S> &v) {}
template <typename Head, typename... Tail, class S> void fold_in(vector<S> &v, Head &&a, Tail &&...tail) {
for(auto e : a) v.emplace_back(e);
fold_in(v, tail...);
}
template <class S> void renumber(vector<S> &v) {}
template <typename Head, typename... Tail, class S> void renumber(vector<S> &v, Head &&a, Tail &&...tail) {
for(auto &&e : a) e = lb(v, e);
renumber(v, tail...);
}
template <class S, class... Args> vector<S> zip(vector<S> &head, Args &&...args) {
vector<S> v;
fold_in(v, head, args...);
sort(all(v)), v.erase(unique(all(v)), v.end());
renumber(v, head, args...);
return v;
}
// x in [l, r)
template <class T, class S> bool inc(const T &x, const S &l, const S &r) { return l <= x and x < r; }
// (a, b) in [lx, rx) * [ly, ry)
template <class T, class S> bool inc(const pair<T, T> &x, const S &lx, const S &ly, const S &rx, const S &ry) { return inc(x.fi, lx, rx) && inc(x.se, ly, ry); }
constexpr ll ten(int n) { return n == 0 ? 1 : ten(n - 1) * 10; }
// bit 演算系
ll pow2(int i) { return 1LL << i; }
int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int lowbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
int lowbit(ll a) { return a == 0 ? 64 : __builtin_ctzll(a); }
// int allbit(int n) { return (1 << n) - 1; }
ll allbit(ll n) { return (1LL << n) - 1; }
int popcount(signed t) { return __builtin_popcount(t); }
int popcount(ll t) { return __builtin_popcountll(t); }
bool ispow2(int i) { return i && (i & -i) == i; }
ll rnd(ll l, ll r) { //[l, r)
#ifdef _LOCAL
static mt19937_64 gen;
#else
static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
#endif
return uniform_int_distribution<ll>(l, r - 1)(gen);
}
ll rnd(ll n) { return rnd(0, n); }
template <class t> void random_shuffle(vc<t> &a) { rep(i, si(a)) swap(a[i], a[rnd(0, i + 1)]); }
int in() {
int x;
cin >> x;
return x;
}
ll lin() {
unsigned long long x;
cin >> x;
return x;
}
template <class T, class S> pair<T, S> operator-(const pair<T, S> &x, const pair<T, S> &y) { return pair<T, S>(x.fi - y.fi, x.se - y.se); }
template <class T, class S> pair<T, S> operator+(const pair<T, S> &x, const pair<T, S> &y) { return pair<T, S>(x.fi + y.fi, x.se + y.se); }
template <class T> pair<T, T> operator&(const pair<T, T> &l, const pair<T, T> &r) { return pair<T, T>(max(l.fi, r.fi), min(l.se, r.se)); }
template <class T, class S> pair<T, S> operator+=(pair<T, S> &l, const pair<T, S> &r) { return l = l + r; }
template <class T, class S> pair<T, S> operator-=(pair<T, S> &l, const pair<T, S> &r) { return l = l - r; }
template <class T> bool intersect(const pair<T, T> &l, const pair<T, T> &r) { return (l.se < r.se ? r.fi < l.se : l.fi < r.se); }
template <class T> ll operator*(const pair<T, T> &x, const pair<T, T> &y) { return (ll)x.fi * y.fi + (ll)x.se * y.se; }
template <typename T> struct edge {
int from, to;
T cost;
int id;
edge(int to, T cost) : from(-1), to(to), cost(cost) {}
edge(int from, int to, T cost) : from(from), to(to), cost(cost) {}
edge(int from, int to, T cost, int id) : from(from), to(to), cost(cost), id(id) {}
constexpr bool operator<(const edge<T> &rhs) const noexcept { return cost < rhs.cost; }
edge &operator=(const int &x) {
to = x;
return *this;
}
operator int() const { return to; }
};
template <typename T> using Edges = vector<edge<T>>;
using Tree = vector<vector<int>>;
using Graph = vector<vector<int>>;
template <class T> using Wgraph = vector<vector<edge<T>>>;
Graph getG(int n, int m = -1, bool directed = false, int margin = 1) {
Tree res(n);
if(m == -1) m = n - 1;
while(m--) {
int a, b;
cin >> a >> b;
a -= margin, b -= margin;
res[a].emplace_back(b);
if(!directed) res[b].emplace_back(a);
}
return res;
}
Graph getTreeFromPar(int n, int margin = 1) {
Graph res(n);
for(int i = 1; i < n; i++) {
int a;
cin >> a;
res[a - margin].emplace_back(i);
}
return res;
}
template <class T> Wgraph<T> getWg(int n, int m = -1, bool directed = false, int margin = 1) {
Wgraph<T> res(n);
if(m == -1) m = n - 1;
while(m--) {
int a, b;
T c;
cin >> a >> b >> c;
a -= margin, b -= margin;
res[a].emplace_back(b, c);
if(!directed) res[b].emplace_back(a, c);
}
return res;
}
void add(Graph &G, int x, int y) { G[x].eb(y), G[y].eb(x); }
template <class S, class T> void add(Wgraph<S> &G, int x, int y, T c) { G[x].eb(y, c), G[y].eb(x, c); }
#define i128 __int128_t
#define ull unsigned long long int
#define TEST \
INT(testcases); \
while(testcases--)
template <class T> ostream &operator<<(ostream &os, const vector<T> &v) {
for(auto it = begin(v); it != end(v); ++it) {
if(it == begin(v))
os << *it;
else
os << " " << *it;
}
return os;
}
template <class T, class S> ostream &operator<<(ostream &os, const pair<T, S> &p) {
os << p.first << " " << p.second;
return os;
}
template <class S, class T> string to_string(pair<S, T> p) { return "(" + to_string(p.first) + "," + to_string(p.second) + ")"; }
string to_string(string s) { return "\"" + s + "\""; }
string to_string(char c) { return string(1, c); }
template <class T> string to_string(vector<T> s) {
string res = "{";
for(auto it = s.begin(); it != s.end(); it++) res += to_string(*it) + (next(it) == s.end() ? "" : ", ");
return res + "}";
}
template <class T> string to_string(set<T> s) {
string res = "{";
for(auto it = s.begin(); it != s.end(); it++) res += to_string(*it), res += (next(it) == end(s) ? "" : ", ");
return res + "}";
}
#define endl '\n'
#ifdef _LOCAL
void dump() { cerr << endl; }
template <class Head, class... Tail> void dump(Head head, Tail... tail) {
cerr << to_string(head) << " ";
dump(tail...);
}
#undef endl
#define debug(x) \
cout << #x << ": "; \
dump(x)
#else
void dump() {}
template <class Head, class... Tail> void dump(Head head, Tail... tail) {}
#define debug(x)
#endif
template <class T> void print(const T &a) { cout << a; }
void OUT() { cout << endl; }
template <class Head, class... Tail> void OUT(const Head &head, const Tail &...tail) {
print(head);
if(sizeof...(tail)) cout << ' ';
OUT(tail...);
}
template <typename T> static constexpr T inf = numeric_limits<T>::max() / 2;
struct Setup_io {
Setup_io() {
ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
cout << fixed << setprecision(15);
}
} setup_io;
#define drop(s) cout << #s << endl, exit(0)
template <int N> struct ndFORarray {
std::array<int, N> v;
ndFORarray(std::array<int, N> v_) : v(v_) {}
struct ndFORitr {
const std::array<int, N> &v;
std::array<int, N> tmp;
bool is_end;
ndFORitr(const std::array<int, N> &v_) : v(v_), tmp(), is_end(false) {}
bool operator!=(const ndFORitr &) const { return !is_end; }
void operator++() {
int pos = N - 1;
while(pos != -1) {
tmp[pos] += 1;
if(tmp[pos] == v[pos]) {
tmp[pos] = 0;
pos -= 1;
} else {
break;
}
}
if(pos == -1) { is_end = true; }
}
const std::array<int, N> &operator*() const { return tmp; }
};
ndFORitr begin() const { return ndFORitr(v); }
ndFORitr end() const { return ndFORitr(v); }
};
struct ndFORvector {
std::vector<int> v;
ndFORvector(std::vector<int> v_) : v(v_) {}
struct ndFORitr {
const std::vector<int> &v;
std::vector<int> tmp;
bool is_end;
ndFORitr(const std::vector<int> &v_) : v(v_), tmp(v.size(), 0), is_end(false) {}
bool operator!=(const ndFORitr &) const { return !is_end; }
void operator++() {
int pos = v.size() - 1;
while(pos != -1) {
tmp[pos] += 1;
if(tmp[pos] == v[pos]) {
tmp[pos] = 0;
pos -= 1;
} else {
break;
}
}
if(pos == -1) { is_end = true; }
}
const std::vector<int> &operator*() const { return tmp; }
};
ndFORitr begin() const { return ndFORitr(v); }
ndFORitr end() const { return ndFORitr(v); }
};
auto ndFOR(std::vector<int> v) { return ndFORvector(v); }
template <class... Ts> auto ndFOR(Ts... v) { return ndFORarray<std::tuple_size<std::tuple<Ts...>>::value>({v...}); }
template <class F> struct REC {
F f;
REC(F &&f_) : f(std::forward<F>(f_)) {}
template <class... Args> auto operator()(Args &&...args) const { return f(*this, std::forward<Args>(args)...); }
};
template <class S> vector<pair<S, int>> runLength(const vector<S> &v) {
vector<pair<S, int>> res;
for(auto &e : v) {
if(res.empty() or res.back().fi != e)
res.eb(e, 1);
else
res.back().se++;
}
return res;
}
vector<pair<char, int>> runLength(const string &v) {
vector<pair<char, int>> res;
for(auto &e : v) {
if(res.empty() or res.back().fi != e)
res.eb(e, 1);
else
res.back().se++;
}
return res;
}
template <class T = int> struct Imos {
int n;
vector<T> a;
Imos(int _n) : n(_n), a(_n + 1) {}
void add(int l, int r, T val = 1) {
if(l >= r) return;
l = clamp(l, 0, n);
r = clamp(r, 0, n + 1);
a[l] += val;
if(r <= n) a[r] -= val;
}
void build() {
for(int i = 0; i < n; i++) a[i + 1] += a[i];
}
const T &operator[](int k) { return a[k]; }
};
template <class T> struct RUI {
vector<T> a;
RUI(const vector<T> &v) : a(v.size() + 1) {
for(int i = 0; i < v.size(); i++) a[i + 1] = a[i] + v[i];
}
T get(int l, int r) { return a[r] - a[l]; }
};
template <class T, class F> T bin_search(T ok, T ng, const F &f) {
while(abs(ok - ng) > 1) {
T mid = ok + ng >> 1;
(f(mid) ? ok : ng) = mid;
}
return ok;
}
#pragma endregion
enum Objective {
MINIMIZE = 1,
MAXIMIZE = -1,
};
enum class Status {
OPTIMAL,
INFEASIBLE,
};
template <class Flow, class Cost, Objective objective = Objective::MINIMIZE> class MinCostFlow {
using V_id = uint32_t;
using E_id = uint32_t;
class Edge {
friend class MinCostFlow;
V_id src, dst;
Flow flow, cap;
Cost cost;
E_id rev;
public:
Edge() = default;
Edge(const V_id src, const V_id dst, const Flow cap, const Cost cost, const E_id rev) : src(src), dst(dst), flow(0), cap(cap), cost(cost), rev(rev) {}
[[nodiscard]] Flow residual_cap() const { return cap - flow; }
};
public:
class EdgePtr {
friend class MinCostFlow;
const MinCostFlow *instance;
V_id v;
E_id e;
EdgePtr(const MinCostFlow *const instance, const V_id v, const E_id e) : instance(instance), v(v), e(e) {}
[[nodiscard]] const Edge &edge() const { return instance->g[v][e]; }
[[nodiscard]] const Edge &rev() const {
const Edge &e = edge();
return instance->g[e.dst][e.rev];
}
public:
EdgePtr() = default;
[[nodiscard]] V_id src() const { return v; }
[[nodiscard]] V_id dst() const { return edge().dst; }
[[nodiscard]] Flow flow() const { return edge().flow; }
[[nodiscard]] Flow lower() const { return -rev().cap; }
[[nodiscard]] Flow upper() const { return edge().cap; }
[[nodiscard]] Cost cost() const { return edge().cost; }
[[nodiscard]] Cost gain() const { return -edge().cost; }
};
private:
V_id n;
std::vector<std::vector<Edge>> g;
std::vector<Flow> b;
public:
MinCostFlow() : n(0) {}
V_id add_vertex() {
++n;
g.resize(n);
b.resize(n);
return n - 1;
}
std::vector<V_id> add_vertices(const size_t size) {
std::vector<V_id> ret(size);
std::iota(std::begin(ret), std::end(ret), n);
n += size;
g.resize(n);
b.resize(n);
return ret;
}
EdgePtr add_edge(const V_id src, const V_id dst, const Flow lower, const Flow upper, const Cost cost) {
const E_id e = g[src].size(), re = src == dst ? e + 1 : g[dst].size();
assert(lower <= upper);
g[src].emplace_back(Edge{src, dst, upper, cost * objective, re});
g[dst].emplace_back(Edge{dst, src, -lower, -cost * objective, e});
return EdgePtr{this, src, e};
}
void add_supply(const V_id v, const Flow amount) { b[v] += amount; }
void add_demand(const V_id v, const Flow amount) { b[v] -= amount; }
private:
// Variables used in calculation
static Cost constexpr unreachable = std::numeric_limits<Cost>::max();
Cost farthest;
std::vector<Cost> potential;
std::vector<Cost> dist;
std::vector<Edge *> parent; // out-forrest.
std::priority_queue<std::pair<Cost, int>, std::vector<std::pair<Cost, int>>,
std::greater<>> pq; // should be empty outside of dual()
std::vector<V_id> excess_vs, deficit_vs;
Edge &rev(const Edge &e) { return g[e.dst][e.rev]; }
void push(Edge &e, const Flow amount) {
e.flow += amount;
g[e.dst][e.rev].flow -= amount;
}
Cost residual_cost(const V_id src, const V_id dst, const Edge &e) { return e.cost + potential[src] - potential[dst]; }
bool dual() {
dist.assign(n, unreachable);
parent.assign(n, nullptr);
excess_vs.erase(std::remove_if(std::begin(excess_vs), std::end(excess_vs), [&](const V_id v) { return b[v] <= 0; }), std::end(excess_vs));
deficit_vs.erase(std::remove_if(std::begin(deficit_vs), std::end(deficit_vs), [&](const V_id v) { return b[v] >= 0; }), std::end(deficit_vs));
for(const auto v : excess_vs) pq.emplace(dist[v] = 0, v);
farthest = 0;
std::size_t deficit_count = 0;
while(!pq.empty()) {
const auto [d, u] = pq.top();
pq.pop();
if(dist[u] < d) continue;
farthest = d;
if(b[u] < 0) ++deficit_count;
if(deficit_count >= deficit_vs.size()) break;
for(auto &e : g[u]) {
if(e.residual_cap() <= 0) continue;
const auto v = e.dst;
const auto new_dist = d + residual_cost(u, v, e);
if(new_dist >= dist[v]) continue;
pq.emplace(dist[v] = new_dist, v);
parent[v] = &e;
}
}
pq = decltype(pq)(); // pq.clear() doesn't exist.
for(V_id v = 0; v < n; ++v) { potential[v] += std::min(dist[v], farthest); }
return deficit_count > 0;
}
void primal() {
for(const auto t : deficit_vs) {
if(dist[t] > farthest) continue;
Flow f = -b[t];
V_id v;
for(v = t; parent[v] != nullptr; v = parent[v]->src) { f = std::min(f, parent[v]->residual_cap()); }
f = std::min(f, b[v]);
if(f <= 0) continue;
for(v = t; parent[v] != nullptr;) {
auto &e = *parent[v];
push(e, f);
int u = parent[v]->src;
if(e.residual_cap() <= 0) parent[v] = nullptr;
v = u;
}
b[t] += f;
b[v] -= f;
}
}
public:
std::pair<Status, Cost> solve() {
potential.resize(n);
for(auto &es : g)
for(auto &e : es) {
const Flow rcap = e.residual_cap();
const Cost rcost = residual_cost(e.src, e.dst, e);
if(rcost < 0 || rcap < 0) {
push(e, rcap);
b[e.src] -= rcap;
b[e.dst] += rcap;
}
}
for(V_id v = 0; v < n; ++v)
if(b[v] != 0) { (b[v] > 0 ? excess_vs : deficit_vs).emplace_back(v); }
while(dual()) primal();
Cost value = 0;
for(const auto &es : g)
for(const auto &e : es) { value += e.flow * e.cost; }
value /= 2;
if(excess_vs.empty() && deficit_vs.empty()) {
return {Status::OPTIMAL, value / objective};
} else {
return {Status::INFEASIBLE, value / objective};
}
}
std::tuple<Status, Cost, Flow> solve(const V_id s, const V_id t) {
assert(s != t);
Flow inf_flow = std::abs(b[s]);
for(const auto &e : g[s]) inf_flow += std::max(e.cap, static_cast<Flow>(0));
add_edge(t, s, 0, inf_flow, 0);
const auto [status, circulation_value] = solve();
if(status == Status::INFEASIBLE) {
g[s].pop_back();
g[t].pop_back();
return {status, circulation_value, 0};
}
inf_flow = std::abs(b[s]);
for(const auto &e : g[s]) inf_flow += e.residual_cap();
b[s] += inf_flow;
b[t] -= inf_flow;
const auto [mf_status, mf_value] = solve();
b[s] -= inf_flow;
b[t] += inf_flow;
g[s].pop_back();
g[t].pop_back();
return {Status::OPTIMAL, mf_value, b[t]};
}
};
template <class Flow, class Cost> using MaxGainFlow = MinCostFlow<Flow, Cost, Objective::MAXIMIZE>;
int main() {
MaxGainFlow<int, ll> flow;
INT(n, k);
auto vs = flow.add_vertices(n);
rep(i, n - 1) flow.add_edge(vs[i], vs[i + 1], 0, k, 0);
vll a(n);
rep(i, n) {
cin >> a[i];
INT(m);
rep(_, m) {
INT(x);
x--;
int t = flow.add_vertex();
if(a[x] < a[i]) {
flow.add_edge(t, vs[x], 0, 1, -a[x]);
flow.add_edge(vs[i], t, 0, 1, a[i]);
}
}
}
auto res = flow.solve();
OUT(res.se);
}